A jellyfish is floating in a water-filled aquarium 1.22 m behind a flat pane of

Question

A jellyfish is floating in a water-filled aquarium 1.22 m behind a flat pane of glass 4.60 cm thick and having an index of refraction of 1.5. (The index of refraction of water is 1.33.)

(a) Where is the image of the jellyfish located? (Find the location of the final image, taking the inside and outside surfaces of the pane of glass as two refracting surfaces. Use a negative number to indicate the image is in the tank. Measure the distance from the air-glass interface. Enter your answer to three decimal places.)
m

(b) Repeat the problem when the glass is so thin that its thickness can be neglected. (Use a negative number to indicate the image is in the tank. Enter your answer to three decimal places.)
m

Explanation / Answer

(a)

We have relation for Apparent depth = Acctual depth / n                       (where n is refrective index)

Apprent depth = 122/1.33 + 4.60/1.5

                     = 94.796 cm

the jellyfish is (122+4.60)=126.60 cm from the front of the glass but it appears 94.80 from the front of the glass hence

the image is (126.60 - 94.796)= 31.804 cm closer.

(b)

When thickness of glass is negligble

Then the apparent depth=122/1.33 =91.729 cm

and this position is (122-91.729)=30.271 cm closer.

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